Regional Final. Supervisor s Booklet

Transcription

1 Regional Final Supervisor s Booklet Please ensure that students do not have access to this booklet, and take care to hold it so that answers cannot be seen.

2 Mini-Relay Score Sheet School number: School name: Round A Round B Round C A 2 B 2 C 2 A2 2 B2 2 C2 2 A3 2 B3 2 C3 2 A4 2 B4 2 C4 2 Bonus 2 Bonus 2 Bonus 2 Total Total Total Round D Round E Round F D 2 E 2 F 2 D2 2 E2 2 F2 2 D3 2 E3 2 F3 2 D4 2 E4 2 F4 2 Bonus 2 Bonus 2 Bonus 2 Total Total Total Grand Total:

3 Mini-Relay : Marking Instructions a reminder Teams can hand in the Answer Sheet only when they have an answer to all four questions. The teacher starts marking at Q. and stops marking at the first incorrect answer, ignoring any subsequent answers. The teacher circles 2 marks on the Score Sheet by each correct answer and crosses out the 2 for the first incorrect answer. The Answer Sheet is then returned to the pair who gave that incorrect answer. When the Answer Sheet is handed in again only mark is available for any question previously answered incorrectly. Teams may have as many attempts as they wish at such a question. Correct answers to later questions will still earn 2 marks each. There will be a whistle after 4 minutes. Handing in an Answer Sheet with four correct answers before this whistle will earn a bonus of 2 marks in addition to the maximum of marks available for the individual answers. This bonus is circled on the Score Sheet. A final whistle is blown after 6 minutes. Teams must stop working and hand in their Answer Sheet for marking. MINI-RELAY ANSWERS A 2 D A2 5 D2 4 A3 D3 2 A4 2 D4 4( ) B E 20 B2 3 E2 2 B3 4 E3 4 B4 4 E4 4( ) C 2 F 3 C2 5 F2 9 C3 6 F3 2 C4 24( ) F4 0

4 Across Down Both a square and a cube 2 Power of two 6 2 p ( p +) where p is prime 3 Prime, one less than a multiple of 4 Down Solution to x 6x +600 = 0 Solution to x 2009x +404 = 0 Cube 5 One more than a square, three less than a cube 9 Prime squared 7 Multiple of seven, its digit sum is prime 0 4 One less than a multiple of eleven Number divisible by two and seven; 9 Across minus 5 Down 2 One more than a multiple of 5 Down, greater than 3 Down Mean of 2 Down, 3 Down and 2 Down 6 Fourth power 3 One more than three times 3 Down Three times 6 Across 5 Product of two numbers differing by two 9 20 One more than a multiple of nine Multiple of either four or nine 7 24 Down minus a factor of 4 Across Twice a prime squared 23 The mean of 9 Across, 6 Across and 23 Across is 6 Across 9 Remainder when 9 Down is divided by 3 Down is 6 Across Sum of two distinct squares 4 Down plus twice Down 2 Fibonacci number where consecutive digits differ by one 2 Half the product of two consecutive integers, 22 Palindrome, twice a prime also a multiple of seven 29 Odd number, four more than a multiple of 25 Across 24 Twelve times a prime 27 Three times a factor of Across

5 CROSSNUMBER Completed Grid Marking Instructions a reminder Pairs may only communicate through the teacher, and only to request that the other pair work on a particular clue. When a pair enters an answer in the Answer Grid, the teacher checks each digit of the answer. If it is correct, tick it and award one mark; if it is wrong, cross it out and enter the correct digit. The correct answer is then shown to both pairs so that they are up-to-date. A pair may enter just one digit if they wish, rather than a complete answer. A pair may sacrifice a square, by guessing, if they wish.

6 GROUP ROUND ANSWERS. Value of y: 2. Area of quadrilateral: 3. a + b + c + d = 5. Distance from A to C: 3.5 units² 4. Number to right of 2009: 6. Radius: cm (2π + ) (π + 4 3) cm 7. Value of n:. Number of cards: Three digit number: Area of triangle CDF: 56 cm² 6 points for each correct answer. TOTAL SCORE ( /60)=